A lovely light gray pattern with stripes and a dash of noise.
Source V. Hartikainen
A seamless texture traced from an image on opengameart.org shared by Scouser.
Source Firkin
Classic 45-degree pattern, light version.
Source Luke McDonald
Hexagonal dark 3D pattern. What more can you ask for?
Source Norbert Levajsics
Remixed from a drawing in 'Line and form', Walter Crane, 1914.
Source Firkin
A new take on the black linen pattern. Softer this time.
Source Atle Mo
This seamless background image should look nice on websites. It has a dark blue gray texture with vertical stripes, it tiles seamlessly and, like all of the background images here, it's free. So, if you like it, take it!
Source V. Hartikainen
One more in the line of patterns inspired by Japanese/Asian styles. Smooth.
Source Kim Ruddock
This is a hot one. Small, sharp and unique.
Source GraphicsWall
Prismatic Hexagonalism Pattern No Background
Source GDJ
A background pattern with blue on white vertical stripes.
Source V. Hartikainen